137682 ÷ 65 
We're looking to find how many times 65 goes into 137682.

On to step 1:
65 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 65

Step 2:
The number 65 fits into 13 0 times, leaving a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Grab the next digit (7) from the dividend, add it to 13, then carry on: 137 / 65

Moving on to step 3:
65 goes into 137 2 times with a remainder of 7.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 130 from 137 to get 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 65

Advancing to step 4:
The number 65 fits into 76 1 times, leaving a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 21.0
If we subtract 65 from 76, we get 11.
Append the next digit (8) from the dividend to 11 and continue with: 118 / 65

Step 5:
If we divide 118 by 65, we get 1 and a remainder of 53.
Write down 1 as next digit of the result. 
Result so far: 211.0
Subtract 65 from 118 to get 53.
Append the next digit (2) from the dividend to 53 and continue with: 532 / 65

Advancing to step 6:
65 goes into 532 8 times with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 2118.0
If we subtract 520 from 532, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 7:
65 goes into 120 1 times with a remainder of 55.
Record the quotient 1 as the next digit in the result. 
Result so far: 2118.1
Subtract 65 from 120 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 8:
65 goes into 550 8 times with a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 2118.18
Subtracting 520 from 550 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
65 goes into 300 4 times with a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 2118.184
Deduct 260 from 300 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 10:
400 divided by 65 is 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 2118.1846
Subtract 390 from 400 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 11:
If we divide 100 by 65, we get 1 and a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 2118.18461
If we subtract 65 from 100, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 12:
350 divided by 65 is 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 2118.184615
Deduct 325 from 350 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 13:
The number 65 fits into 250 3 times, leaving a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 2118.1846153
Subtracting 195 from 250 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 14:
When dividing 550 by 65, we get 8 with a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 2118.18461538
If we take 520 away from 550, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final outcome is 2118.18461538, with a leftover of 3e-08.